Place eggs into a saucepan in a single layer and cover with water by 1 inch. Cover the saucepan and bring to a boil. Remove from the heat and let eggs stand in hot water for 15 minutes. Drain and cool under cold running water in the sink.

Peel cool eggs and cut in half lengthwise. Place yolks into a mixing bowl and set whites aside. Mash yolks with a fork until smooth; stir in mayonnaise, Worcestershire sauce, horseradish, hot sauce, salt, and pepper. Spoon yolk mixture into a heavy plastic bag; snip a corner off the bag to create a 1/2-inch opening. Pipe yolk mixture into egg white halves. Chill for at least 30 minutes before serving. Sprinkle with parsley and paprika to garnish.